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Finding the Fourth Proportional to 4,652.73, 6,420.84 and 2,663.46

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Solution

The fourth proportional to 4,652.73, 6,420.84 and 2,663.46 is: 3,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.73 : 6,420.84 = 2,663.46 : x
  2. Step 2: Convert to fraction form
    4,652.73/6,420.84 = 2,663.46/x
  3. Step 3: Cross multiply
    4,652.73x = 6,420.84 × 2,663.46
  4. Step 4: Simplify right side
    4,652.73x = 17,101,650.51
  5. Step 5: Solve for x
    x = 17,101,650.51/4,652.73
  6. Step 6: Final answer
    x = 3,675.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.